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Finding the Third Proportional to 162,101.75 and 260,453.75

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Solution

The third proportional to 162,101.75 and 260,453.75 is: 418,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,101.75 : 260,453.75 = 260,453.75 : x
  2. Step 2: Convert to fraction form
    162,101.75/260,453.75 = 260,453.75/x
  3. Step 3: Cross multiply
    162,101.75x = 260,453.75 × 260,453.75
  4. Step 4: Simplify right side
    162,101.75x = 67,836,155,889.06
  5. Step 5: Solve for x
    x = 67,836,155,889.06/162,101.75
  6. Step 6: Final answer
    x = 418,478.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.